126.86 is what percent of 136.06 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 136.06 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 136.06, so we can write it down as 100%=136.06.
4. We know, that x% equals 126.86 of the output value, so we can write it down as x%=126.86.
5. Now we have two simple equations:
1) 100%=136.06
2) x%=126.86
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=136.06/126.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.86 is what percent of 136.06

100%/x%=136.06/126.86
(100/x)*x=(136.06/126.86)*x       - we multiply both sides of the equation by x
100=1.0725208891692*x       - we divide both sides of the equation by (1.0725208891692) to get x
100/1.0725208891692=x
93.238277230634=x
x=93.238277230634

now we have:
126.86 is 93.238277230634% of 136.06